The module deals with modern methods for structured modeling, energy-based control and order reduction of high-dimensional system models. The topics are important areas of current research, among others at the Chair of Automatic Control. The presented methods allow for a control-oriented approach to complex systems and design problems: The port-Hamiltonian approach is based on structured modeling and puts an emphasis on the power flows. It is very appropriate for the representation of coupled multi-physics systems. Order reduction is necessary to cope efficiently with very high-dimensional models in simulation and computational control. High-order models result for example from the spatial discretization of multi-physics distributed parameter systems.